Pascual F.G. and Meeker W.Q., "Estimating Fatigue Curves With the Random Fatigue-Limit Model," Technometrics, v.41,277-302 (1999).

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The Use Of Markov Chains Theory For Approximation - Of Fatigue Curve (2002)   (Correct)

....curve, a log log plot of cyclic stress or strain S versus the median fatigue life N, which is expressed in cycles to failure. A great number of articles is devoted to the problem. Wide discussion on this matter took place on F.G. Pascual s and W.Q. Meeker s paper in Technometrics, November 1999 [1], in which 7 models of this relationship can be found. These models are offered by Bastenaire (in 1972) Little and Ekvall (in 1981 and once again in 1981) Spindel and Haibach (in 1981) Castillo et al. in 1985) Castillo and Hadi (1995) So this problem is still the subject of active research ....

....on k. Then we can find k by the use of linear regression. And all these procedures must be repeated in order to choose r (at fixed r R) and to get desirable values of coefficient of variation. 3. Numerical example Results, which are shown in Figure 1, we have got by processing data given in [1]. Fatigue curve S LN 400 , 350 300 25O 4.5 Log l O(Number of Cycles) Fatigue curve LS LN 2.65 I 2.6 2.55 2.5 m 2.45 . 1 2.4 4.5 8 Log10(Number of Cycles) Figure 1. The data came from 125 specimens in four point out of plane bending tests of carbon eightharness ....

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Pascual F.G. and Meeker W.Q., "Estimating Fatigue Curves With the Random Fatigue-Limit Model," Technometrics, v.41,277-302 (1999).

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